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Finding the Fourth Proportional to 4,761.05, 7,143.62 and 1,988.35

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Solution

The fourth proportional to 4,761.05, 7,143.62 and 1,988.35 is: 2,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.05 : 7,143.62 = 1,988.35 : x
  2. Step 2: Convert to fraction form
    4,761.05/7,143.62 = 1,988.35/x
  3. Step 3: Cross multiply
    4,761.05x = 7,143.62 × 1,988.35
  4. Step 4: Simplify right side
    4,761.05x = 14,203,989.03
  5. Step 5: Solve for x
    x = 14,203,989.03/4,761.05
  6. Step 6: Final answer
    x = 2,983.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.